581680 has 40 divisors (see below), whose sum is σ = 1477584. Its totient is φ = 211200.

The previous prime is 581663. The next prime is 581683. The reversal of 581680 is 86185.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (581683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550 + ... + 1210.

2⁵⁸¹⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 581680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738792).

581680 is an abundant number, since it is smaller than the sum of its proper divisors (895904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

581680 is a wasteful number, since it uses less digits than its factorization.

581680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 581680 is about 762.6794870717. The cubic root of 581680 is about 83.4759513376.

The spelling of 581680 in words is "five hundred eighty-one thousand, six hundred eighty".